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Chapters
Chapter 2: Polynomials
Chapter 3: Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Chapter 5: Arithmetic Progressions
Chapter 6: Triangles
Chapter 7: Coordinate Geometry
Chapter 8: Introduction to Trigonometry
Chapter 9: Some Applications of Trigonometry
Chapter 10: Circles
Chapter 11: Constructions
Chapter 12: Areas Related to Circles
Chapter 13: Surface Areas and Volumes
Chapter 14: Statistics
Chapter 15: Probability

Solutions for Chapter 2: Polynomials
Below listed, you can find solutions for Chapter 2 of CBSE NCERT for Class 10 Maths.
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.1 [Page 28]
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in the following.
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.2 [Page 33]
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
x2 – 2x – 8
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
4s2 – 4s + 1
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
6x2 – 3 – 7x
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
4u2 + 8u
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
t2 – 15
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
3x2 – x – 4
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`1/4 , -1`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`sqrt2 , 1/3`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`0, sqrt5`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
1, 1
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`-1/4 ,1/4`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
4, 1
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.3 [Page 36]
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following
p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following
p(x) = x4 – 5x + 6, g(x) = 2 – x2
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
t2 – 3, 2t4 + 3t3 – 2t2 – 9t – 12
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1
Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5, if two of its zeroes are `sqrt(5/3)` and - `sqrt(5/3)`
On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg p(x) = deg q(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg q(x) = deg r(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg r(x) = 0
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.4 [Pages 36 - 37]
Verify that the numbers given along side of the cubic polynomials are their zeroes. Also verify the relationship between the zeroes and the coefficients.
`2x^3 + x^2 – 5x + 2 ; 1/2, 1, – 2`
Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case
x3 – 4x2 + 5x – 2; 2, 1, 1
Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, − 7, − 14 respectively
If the zeroes of the polynomial x3 – 3x2 + x + 1 are a – b, a, a + b, find a and b
If two zeroes of the polynomial x4 – 6x3 – 26x2 + 138x – 35 are 2 ± `sqrt3` , find other zeroes
If the polynomial x4 – 6x3 + 16x2 – 25x + 10 is divided by another polynomial x2 – 2x + k, the remainder comes out to be x + a, find k and a.
Solutions for Chapter 2: Polynomials

NCERT solutions for Class 10 Maths chapter 2 - Polynomials
Shaalaa.com has the CBSE Mathematics Class 10 Maths CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Class 10 Maths CBSE 2 (Polynomials) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Class 10 Maths chapter 2 Polynomials are Geometrical Meaning of the Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Polynomial, Division Algorithm for Polynomials, Polynomials, Polynomials, Geometrical Meaning of the Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Polynomial, Division Algorithm for Polynomials, Polynomials, Polynomials.
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